Let s(h) = h**3 + 7. Let g be s(0). Let f = 10 - g. Determine j so that 293*j**2 - j - 2*j**f + j - 297*j**2 = 0.

Let l© = 3*c2 - 6*c + 8. Let s(w) be the second derivative of -w⁴⁄₁₂ + 3*w + 9. Let r(z) = -l(z) - 2*s(z). Factor r(v).

-(v - 4)*(v - 2)

Let 804*o - o2 - 10034 + 3*o2 + 90836 = 0. What is o?

-201

Let a(l) be the second derivative of -l⁴⁄₁₂ + 25*l³⁄₃ - 48*l**2 + 332*l - 2. Factor a(h).

-(h - 48)*(h - 2)

Let o = ⁹⁴¹³⁄₆₂₇₅ - ¹⁄₁₂₅₅₀. What is b in -6 - o*b**2 + 6*b = 0?

2

Let q be (1 - (-66)/(-48))*-8. Factor -18*c2 + 15*cq + 6 + 0 - 3*c**4 - 6.

-3*c*2(c - 3)*(c - 2)

Let j© be the third derivative of c⁶⁄₉₀₀ - c⁵⁄₃₀₀ - c⁴⁄₃₀ + 61*c³⁄₆ + 70*c**2. Let h(z) be the first derivative of j(z). Factor h(w).

2(w - 2)(w + 1)/5

Let d = -16183 - -16204. What is a in ¹⁵⁄₂ + 3*a3 + 18*a2 + d*a - ³⁄₂*a**4 = 0?

-1, 5

Find c, given that 96*c + 186 + ³⁄₂*c**2 = 0.

-62, -2

Suppose 22*f - 24356 = -24312. Factor ³⁄₂*w**f + ⁹⁄₂*w - 15.

3(w - 2)(w + 5)/2

Let n(h) be the first derivative of ¹⁶⁄₉*h - ⁸⁄₄₅*h5 + ³⁄₂*h4 + 2*h2 + 75 - ⁹⁸⁄₂₇*h3. Solve n(v) = 0 for v.

-¹⁄₄, 1, 2, 4